Least Common Multiple of 2716 and 2718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2716 and 2718 the smallest integer that is 3691044 that is divisible by both numbers.

Least Common Multiple (LCM) of 2716 and 2718 is 3691044.

LCM(2716,2718) = 3691044

LCM of 2716 and 2718

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2716 and 2718

LCM of 2716 and 2718 is 3691044

Least common multiple can be found by multiplying the highest exponent prime factors of 2716 and 2718. First we will calculate the prime factors of 2716 and 2718.

Prime Factorization of 2716


2 2716
2 1358
7 679
97 97
1

Prime factors of 2716 are 2, 7,97. Prime factorization of 2716 in exponential form is:

2716 = 22×71×971

Prime Factorization of 2718


2 2718
3 1359
3 453
151 151
1

Prime factors of 2718 are 2, 3,151. Prime factorization of 2718 in exponential form is:

2718 = 21×32×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 2716 and 2718.

LCM(2716,2718) = 22×32×71×971×1511
LCM(2716,2718) = 3691044

Factors of 2716

List of positive integer factors of 2716 that divides 2716 without a remainder.

1, 2, 4, 7, 14, 28, 97, 194, 388, 679, 1358, 2716

Factors of 2718

List of positive integer factors of 2718 that divides 2718 without a remainder.

1, 2, 3, 6, 9, 18, 151, 302, 453, 906, 1359, 2718

Least Common Multiple of 2716 and 2718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2716 and 2718, than apply into the LCM equation.

GCF(2716,2718) = 2
LCM(2716,2718) = ( 2716 × 2718) / 2
LCM(2716,2718) = 7382088 / 2
LCM(2716,2718) = 3691044

Properties of LCM 2716 and 2718

(i) The LCM of 2718 and 2716 is associative

LCM of 2716 and 2718 = LCM of 2718 and 2716

Related Least Common Multiples of 2716

Related Least Common Multiples of 2718

Frequently Asked Questions on LCM of 2716 and 2718

1. What is the LCM of 2716 and 2718?

Answer: LCM of 2716 and 2718 is 3691044.

2. What are the Factors of 2716?

Answer: Factors of 2716 are 1, 2, 4, 7, 14, 28, 97, 194, 388, 679, 1358, 2716. There are 12 integers that are factors of 2716. The greatest factor of 2716 is 2716.

3. What are the Factors of 2718?

Answer: Factors of 2718 are 1, 2, 3, 6, 9, 18, 151, 302, 453, 906, 1359, 2718. There are 12 integers that are factors of 2718. The greatest factor of 2718 is 2718.

4. How to Find the LCM of 2716 and 2718?

Answer:

Least Common Multiple of 2716 and 2718 = 3691044

Step 1: Find the prime factorization of 2716

2716 = 2 x 2 x 7 x 97

Step 2: Find the prime factorization of 2718

2718 = 2 x 3 x 3 x 151

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 3691044 = 2 x 2 x 3 x 3 x 7 x 97 x 151

Step 4: Therefore, the least common multiple of 2716 and 2718 is 3691044.